Exact Solutions for Non-Hermitian Dirac-Pauli Equation in an intensive magnetic field

Abstract

The modified Dirac-Pauli equations, which are introduced by means of ${\gamma }_5$-mass factorization of the ordinary Klein-Gordon operator, are considered. We also take into account the interaction of fermions with the intensive homogenous magnetic field focusing attention to their (g-2) gyromagnetic factor. The basis of this approach is developing of methods for study of the structure of regions of unbroken $\mathcal{P}\mathcal{T}$ symmetry of Non-Hermitian Hamiltonians which be no studied earlier. For that, without the use of perturbation theory in the external field the exact energy spectra are deduced with regard to spin effects of fermions. We also investigate the unique possible of experimental observability the non-Hermitian restrictions in the spectrum of mass consistent with the conjecture Markov about Maximal Mass. This, in principal will may allow to find out the existence of an upper limit value in spectrum masses of elementary particles and confirm or deny the significance of the Planck mass.

27 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1404.0503

References in corpus (7)

• Making Sense of Non-Hermitian Hamiltonians
• Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly
• Quantum Mechanics of Klein-Gordon Fields I: Hilbert Space, Localized States, and Chiral Symmetry
• Quantum Mechanics of Proca Fields
• PT-Symmetric Pseudo-Hermitian Relativistic Quantum Mechanics With a Maximal Mass
• Non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric relativistic Quantum mechanics with a maximal mass in an external magnetic field
• Non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics of relativistic particles with the restriction of mass

Cited by in corpus (1)

• Time Optimal Quantum Control of Spinor States